R. Muth

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math.RT2026

Morita equivalences between cyclotomic KLR algebras in types $C_{\infty}$ and $A_{\infty}$

Chris Bowman, Robert Muth, Liron Speyer +1

We prove that level one cyclotomic KLR algebras in type $C_{\infty}$ are graded Morita equivalent to level two cyclotomic KLR algebras in type $A_{\infty}$ . We hence…

math.RT2025

Superalgebra deformations of web categories: Affine and cyclotomic webs

Nicholas Davidson, Jonathan R. Kujawa, Robert Muth

Let $k$ be a characteristic zero domain. We define and study a diagrammatic monoidal $k$ -linear supercategory $Web_{A}^{a f f}$ associated to any locally u…

math.RT2025

A skew Specht perspective of RoCK blocks and cuspidal systems for KLR algebras in affine type A

Robert Muth, Thomas Nicewicz, Liron Speyer +1

Cuspidal systems parameterize KLR algebra representations via root partitions $I ¨ $ , where simple modules $L (I ¨ )$ arise as heads of proper standard modules. Working in affine type A…

Morita equivalences between cyclotomic KLR algebras in types C∞​ and A∞​

Superalgebra deformations of web categories: Affine and cyclotomic webs

A skew Specht perspective of RoCK blocks and cuspidal systems for KLR algebras in affine type A

Morita equivalences between cyclotomic KLR algebras in types $C_{\infty}$ and $A_{\infty}$